Nonlinear Schrödinger systems in 2d with nondecaying final data

Nakao Hayashi, Chunhua Li, Pavel I. Naumkin

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider nonlinear Schrödinger systems with quadratic nonlinearities in two space dimensions. We prove the existence of modified wave operators and uniform time decay of solutions when the Fourier transform of the final data does not necessarily decay at spatial infinity and is small in uniform norm.

Original languageEnglish
Pages (from-to)1472-1495
Number of pages24
JournalJournal of Differential Equations
Volume260
Issue number2
DOIs
Publication statusPublished - 2016 Jan 15

Keywords

  • 35Q40
  • 35Q55
  • Modified wave operator
  • Nondecaying final data
  • Nonlinear Schrödinger systems

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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